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Theoretical and experimental study on longitudinal impact of tapered rods

To examine the adequacy of the one-dimensional, rate-independent theory of plastic-wave propagation for annealed, commerically pure aluminum, experimental results from the longitudinal impact of uniform and tapered rods are compared to a theoretical analysis. The theoretical description is a numerical solution which utilizes the characteristic properties of the governing equations to construct difference relations for a constant mesh spacing. Numerical evidence of convergence and stability of the solution is presented. A constant-velocity boundary condition is defined by the axial collision of identical specimens, 6 inches (152 mm) in length and tapered slope varying between 0.03, using a 3/4-inch (19 mm) bore gas gun. Strain-time profiles are measured at cross-section distances of 1, 2, and 4 inches (25, 51, and 102 mm) from the impact face with resistance gages. Quantitative agreement between theoretical prediction and experimental data, e.g., dispersive features and unloading patterns of the strain wave, show the theory and method of solution to be a reasonably accurate model of the deformation. The selection of the specimen geometry as the experimentally controllable parameter in the longitudinal impact experiment is found to be a useful testing method in investigating the dynamic response of materials.

Publisher

National Bureau of Standards

ISSN

0022-4316

Volume

72C

Issue

4

Page

231

Cite

J. Res. Nat. Bur. Stand. Sec. C: Eng. Inst., Vol. 72C, No. 4, p. 231

Rights

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